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1 ADRIANO PEDRO RODRIGUES ID: UB18207SSO26040 COURSE TITLE: ELECTRONIC ENGINEERING Index 1- Introduction……………………………………………………………………………….pag. 5 1.- Electronic engineering….…………………………………………………………..pag. 6 1.1-History of electronic engineering.………………………………………………pag. 6 1.2-The vacuum tube detector……………………….…………………………………pag. 7 1.3-History of computing hardware………..…………………………………………pag. 7 1.4-Desktop calculators..……………………………………………………………………pag. 9 1.5-Digital computation..………………………………………………………………………pag. 9 1.6-Comercial computers…………….………………………………………………………pag.11 1.7-Microprocessors…………….………………………………………………..…………..pag.12 1.8-Electromagnetism & photoelectric effect..…. ……………………………….pag.13 1.8.1-History………………..………………………………………………………………….……pag.13 1.8.2- Classical electromagnetism…………………………………………………………pag.14 1.8.3-Electromagnetic waves…………………………………………………..……………pag.14 1.8.4-Introduction and early historical view……………………………………..…… pag.14 1.8.5-Traditional explanation……….…………………………………………….……….…pag.15 1.8.6-Stoletov: The first law of photoeffect…….………………………….. …………pag.15 1.8.7-Einstein: light quanta…………………………………………………..…………………pag.16 1.8.8-Uses and effects……………….……………………………..…………………………… pag.16
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Page 1: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

1

ADRIANO PEDRO RODRIGUES

ID UB18207SSO26040

COURSE TITLE ELECTRONIC ENGINEERING

Index

1- Introductionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 5

1- Electronic engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 6

11-History of electronic engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 6

12-The vacuum tube detectorhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 7

13-History of computing hardwarehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 7

14-Desktop calculatorshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 9

15-Digital computationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag 9

16-Comercial computershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag11

17-Microprocessorshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag12

18-Electromagnetism amp photoelectric effecthelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag13

181-Historyhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag13

182- Classical electromagnetismhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag14

183-Electromagnetic waveshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag14

184-Introduction and early historical viewhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag14

185-Traditional explanationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag15

186-Stoletov The first law of photoeffecthelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag15

187-Einstein light quantahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag16 188-Uses and effectshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag16 189-Photoelectron spectroscopyhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag16

1810-Cross sectionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag17

1811-Electromagnetism unitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag17

1812-Electromagnetic phenomenahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag17

1813-Electronic devices and circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag17

2

1814-Analog circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag17

1815-Digital circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag18

2-Signal processing telecommunications engineering amp control engineering pg18

21-Signal processinghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag18

22-Categories of signal processinghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag18

23-Telecommunications engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag19

24-Telecom equipment engineerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag19

25-Control engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag19

26-Instrumentation engineering amp Computer engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag20

27-Computer systems engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag21

28-Algorithmhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag21

29-Formalizationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag21

210-Expressing algorithmshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag22

211-Computer algorithmhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag22

212-Algorithm analysishelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag22

213-Manipulation of symbolshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag24

214-Mathematics during the 1800s up to the mid- 1900shelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag24

215-Design methodshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

216-Electrical lawshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

217-Databasehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

218-Database management systemhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

219-Applications of databaseshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag26

220-Digital electronichelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

221-Advantageshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

222-Disadvantageshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

223-Analog issues in digital circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

224-Struture of digital systemhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag28

225-Design of testabilityhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag29

226-Logic familieshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag29

227-Embebed systemshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag30

3

228-CPU platformshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag30

229-Debugginghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag31

3Applications and basic principles of absorbershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag32

31-Reverberation controlhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag32

32-Echo control in auditoria and lecture theatreshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag34

33-Impedance admittance reflection coefficient and absorptionhelliphelliphelliphelliphelliphelliphellippag34

34-Natural noise controlhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag35

35-Loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag35

36-Echo control in auditoriahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag36

37-Wavefronts and diffusers reflectionshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag36

38-Burring the focusing from concave surfaceshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag37

39-Measurements of absorbers propertieshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag37

391-Porous absoptionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag38

392-Resonant absorbrshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag38

393-Helmholtz resonatorhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag39

394-Active absorption in tree dimensionshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag40

395-Active diffusershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag40

396-Controllershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

4-Acoustic an introductionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

41-Geometric room acoustichelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

42-Diffuse sound fieldhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag42

43-Energy density and reverberationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag43

44-Electroacoustic transducershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag44

45-Piezoelectric transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag44

46-Electrostatic transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

47-Magnetic transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

48-Microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

49-Condeser microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

410-Piezoelectric microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

411-Dynamic microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

4

412-Carbone microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

413-Hidrophoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

414-Loudspeaker and other electroacoustic sound sourceshelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4141-Dynamic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4142-Electrostatic or condenser loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4143-Magnetic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4144-The closed loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4145-The bass-reflex cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4146-Horn loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4147-Loudspeaker directivityhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

5General analysishelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag49

6Conclusionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag50

7Bibliographyhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag51

5

INTRODUCTION

Electronic Engineering

Is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electricity as part of its driving force In our work on electronic engineering we present our acquired knowledge by making mention of the themes and issues that we find extremely important and is essential in the evaluation show that the job can haveApart from the historical aspects of temperament various topics are also addressed issues relating to the development of new technologies as well as formulas and calculations that contributed to the development and certification of these technologiesWe all know how important the role that engineering electro electronics has played in our daily lives to the point of being present in almost all branches of human activity primarily in the communications information and productionIn this work special attention is given to topics that address issues and knowledge that relate to the chosen course (sound engineering) that because it is a very comprehensive is sustained mainly by electronics construction innovation sensitivity etcThe use and development of new technologies is making life easier for itms that are linked to communication and media events in generalNow in this case the sound is something that accompanies us throughout our life since the alarm clock that wakes us in the morning to noticeable various sounds that surround us and that we transmit sound images of what surrounds us and which relates with all human activityThere are countries where we can hardly feel in calm environments as human activity and not only cause stress and consequently health problems to the population

Adriano Pedro Rodrigues

2013-01-21

6

ENGINEERING

11Electronic Engineering is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electrictity as part of its driving force

That encompasses many subfields including those that deal with power instrumentation engineering telecommunications and semiconductor circuit design amongst many othersThe name electrical engineering is still used to cover electronic engineering amongst some of the older (notably American) universities and graduates there are called electrical engineers The distinction between electronic and electrical engineers is becoming moreand more distinct While electrical engineers utilize voltage and current to deliver power electronic engineers utilize voltage and current to deliver information through information technology11 History of ElectronicEngineeringElectronic engineering as a profession sprang from technological improvements in the telegraph industry in the late 1800s and the radio and the telephone industries in the early 1900s People were attracted to radio by the technical fascination it inspired first in receiving and then in transmittingIn 1948 came the transistor and in 1960 the IC to revolutionize the electronic industry In the UK the subject of electronic engineering became distinct from electrical engineering as a university degree subject around 1960

Early electronics

1896 Marconi patente

In 1893 Nikola Tesla made the first public demonstration of radio communicationThe Franklin Institute in Philadelphia and the National Electric Light Association he described and demonstrated in detail the principles of radio communication In 1896 Guglielmo Marconi went on to develop a practical and widely used radio system In 1904 John Ambrose Fleming the first professor of electrical Engineering at University College London invented the first radio tube the diode

7

In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

8

Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 2: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

2

1814-Analog circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag17

1815-Digital circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag18

2-Signal processing telecommunications engineering amp control engineering pg18

21-Signal processinghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag18

22-Categories of signal processinghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag18

23-Telecommunications engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag19

24-Telecom equipment engineerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag19

25-Control engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag19

26-Instrumentation engineering amp Computer engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag20

27-Computer systems engineeringhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag21

28-Algorithmhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag21

29-Formalizationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag21

210-Expressing algorithmshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag22

211-Computer algorithmhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag22

212-Algorithm analysishelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag22

213-Manipulation of symbolshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag24

214-Mathematics during the 1800s up to the mid- 1900shelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag24

215-Design methodshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

216-Electrical lawshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

217-Databasehelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

218-Database management systemhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag25

219-Applications of databaseshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag26

220-Digital electronichelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

221-Advantageshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

222-Disadvantageshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

223-Analog issues in digital circuitshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag27

224-Struture of digital systemhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag28

225-Design of testabilityhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag29

226-Logic familieshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag29

227-Embebed systemshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag30

3

228-CPU platformshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag30

229-Debugginghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag31

3Applications and basic principles of absorbershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag32

31-Reverberation controlhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag32

32-Echo control in auditoria and lecture theatreshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag34

33-Impedance admittance reflection coefficient and absorptionhelliphelliphelliphelliphelliphelliphellippag34

34-Natural noise controlhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag35

35-Loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag35

36-Echo control in auditoriahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag36

37-Wavefronts and diffusers reflectionshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag36

38-Burring the focusing from concave surfaceshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag37

39-Measurements of absorbers propertieshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag37

391-Porous absoptionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag38

392-Resonant absorbrshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag38

393-Helmholtz resonatorhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag39

394-Active absorption in tree dimensionshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag40

395-Active diffusershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag40

396-Controllershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

4-Acoustic an introductionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

41-Geometric room acoustichelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

42-Diffuse sound fieldhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag42

43-Energy density and reverberationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag43

44-Electroacoustic transducershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag44

45-Piezoelectric transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag44

46-Electrostatic transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

47-Magnetic transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

48-Microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

49-Condeser microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

410-Piezoelectric microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

411-Dynamic microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

4

412-Carbone microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

413-Hidrophoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

414-Loudspeaker and other electroacoustic sound sourceshelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4141-Dynamic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4142-Electrostatic or condenser loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4143-Magnetic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4144-The closed loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4145-The bass-reflex cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4146-Horn loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4147-Loudspeaker directivityhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

5General analysishelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag49

6Conclusionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag50

7Bibliographyhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag51

5

INTRODUCTION

Electronic Engineering

Is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electricity as part of its driving force In our work on electronic engineering we present our acquired knowledge by making mention of the themes and issues that we find extremely important and is essential in the evaluation show that the job can haveApart from the historical aspects of temperament various topics are also addressed issues relating to the development of new technologies as well as formulas and calculations that contributed to the development and certification of these technologiesWe all know how important the role that engineering electro electronics has played in our daily lives to the point of being present in almost all branches of human activity primarily in the communications information and productionIn this work special attention is given to topics that address issues and knowledge that relate to the chosen course (sound engineering) that because it is a very comprehensive is sustained mainly by electronics construction innovation sensitivity etcThe use and development of new technologies is making life easier for itms that are linked to communication and media events in generalNow in this case the sound is something that accompanies us throughout our life since the alarm clock that wakes us in the morning to noticeable various sounds that surround us and that we transmit sound images of what surrounds us and which relates with all human activityThere are countries where we can hardly feel in calm environments as human activity and not only cause stress and consequently health problems to the population

Adriano Pedro Rodrigues

2013-01-21

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ENGINEERING

11Electronic Engineering is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electrictity as part of its driving force

That encompasses many subfields including those that deal with power instrumentation engineering telecommunications and semiconductor circuit design amongst many othersThe name electrical engineering is still used to cover electronic engineering amongst some of the older (notably American) universities and graduates there are called electrical engineers The distinction between electronic and electrical engineers is becoming moreand more distinct While electrical engineers utilize voltage and current to deliver power electronic engineers utilize voltage and current to deliver information through information technology11 History of ElectronicEngineeringElectronic engineering as a profession sprang from technological improvements in the telegraph industry in the late 1800s and the radio and the telephone industries in the early 1900s People were attracted to radio by the technical fascination it inspired first in receiving and then in transmittingIn 1948 came the transistor and in 1960 the IC to revolutionize the electronic industry In the UK the subject of electronic engineering became distinct from electrical engineering as a university degree subject around 1960

Early electronics

1896 Marconi patente

In 1893 Nikola Tesla made the first public demonstration of radio communicationThe Franklin Institute in Philadelphia and the National Electric Light Association he described and demonstrated in detail the principles of radio communication In 1896 Guglielmo Marconi went on to develop a practical and widely used radio system In 1904 John Ambrose Fleming the first professor of electrical Engineering at University College London invented the first radio tube the diode

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In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

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Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

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Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

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Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

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IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

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Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

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which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

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fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

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A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

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187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

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Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

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oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

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23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

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Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 3: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

3

228-CPU platformshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag30

229-Debugginghelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag31

3Applications and basic principles of absorbershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag32

31-Reverberation controlhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag32

32-Echo control in auditoria and lecture theatreshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag34

33-Impedance admittance reflection coefficient and absorptionhelliphelliphelliphelliphelliphelliphellippag34

34-Natural noise controlhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag35

35-Loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag35

36-Echo control in auditoriahelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag36

37-Wavefronts and diffusers reflectionshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag36

38-Burring the focusing from concave surfaceshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag37

39-Measurements of absorbers propertieshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag37

391-Porous absoptionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag38

392-Resonant absorbrshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag38

393-Helmholtz resonatorhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag39

394-Active absorption in tree dimensionshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag40

395-Active diffusershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag40

396-Controllershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

4-Acoustic an introductionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

41-Geometric room acoustichelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag41

42-Diffuse sound fieldhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag42

43-Energy density and reverberationhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag43

44-Electroacoustic transducershelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag44

45-Piezoelectric transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag44

46-Electrostatic transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

47-Magnetic transducerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

48-Microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag45

49-Condeser microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

410-Piezoelectric microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

411-Dynamic microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag46

4

412-Carbone microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

413-Hidrophoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

414-Loudspeaker and other electroacoustic sound sourceshelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4141-Dynamic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4142-Electrostatic or condenser loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4143-Magnetic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4144-The closed loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4145-The bass-reflex cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4146-Horn loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4147-Loudspeaker directivityhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

5General analysishelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag49

6Conclusionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag50

7Bibliographyhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag51

5

INTRODUCTION

Electronic Engineering

Is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electricity as part of its driving force In our work on electronic engineering we present our acquired knowledge by making mention of the themes and issues that we find extremely important and is essential in the evaluation show that the job can haveApart from the historical aspects of temperament various topics are also addressed issues relating to the development of new technologies as well as formulas and calculations that contributed to the development and certification of these technologiesWe all know how important the role that engineering electro electronics has played in our daily lives to the point of being present in almost all branches of human activity primarily in the communications information and productionIn this work special attention is given to topics that address issues and knowledge that relate to the chosen course (sound engineering) that because it is a very comprehensive is sustained mainly by electronics construction innovation sensitivity etcThe use and development of new technologies is making life easier for itms that are linked to communication and media events in generalNow in this case the sound is something that accompanies us throughout our life since the alarm clock that wakes us in the morning to noticeable various sounds that surround us and that we transmit sound images of what surrounds us and which relates with all human activityThere are countries where we can hardly feel in calm environments as human activity and not only cause stress and consequently health problems to the population

Adriano Pedro Rodrigues

2013-01-21

6

ENGINEERING

11Electronic Engineering is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electrictity as part of its driving force

That encompasses many subfields including those that deal with power instrumentation engineering telecommunications and semiconductor circuit design amongst many othersThe name electrical engineering is still used to cover electronic engineering amongst some of the older (notably American) universities and graduates there are called electrical engineers The distinction between electronic and electrical engineers is becoming moreand more distinct While electrical engineers utilize voltage and current to deliver power electronic engineers utilize voltage and current to deliver information through information technology11 History of ElectronicEngineeringElectronic engineering as a profession sprang from technological improvements in the telegraph industry in the late 1800s and the radio and the telephone industries in the early 1900s People were attracted to radio by the technical fascination it inspired first in receiving and then in transmittingIn 1948 came the transistor and in 1960 the IC to revolutionize the electronic industry In the UK the subject of electronic engineering became distinct from electrical engineering as a university degree subject around 1960

Early electronics

1896 Marconi patente

In 1893 Nikola Tesla made the first public demonstration of radio communicationThe Franklin Institute in Philadelphia and the National Electric Light Association he described and demonstrated in detail the principles of radio communication In 1896 Guglielmo Marconi went on to develop a practical and widely used radio system In 1904 John Ambrose Fleming the first professor of electrical Engineering at University College London invented the first radio tube the diode

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In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

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Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

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Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

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IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

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Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

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which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

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fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

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A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

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187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

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Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

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oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

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23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

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Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

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Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 4: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

4

412-Carbone microphoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

413-Hidrophoneshelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

414-Loudspeaker and other electroacoustic sound sourceshelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4141-Dynamic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4142-Electrostatic or condenser loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4143-Magnetic loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4144-The closed loudspeaker cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag47

4145-The bass-reflex cabinethelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4146-Horn loudspeakerhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

4147-Loudspeaker directivityhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag48

5General analysishelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag49

6Conclusionhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag50

7Bibliographyhelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphelliphellippag51

5

INTRODUCTION

Electronic Engineering

Is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electricity as part of its driving force In our work on electronic engineering we present our acquired knowledge by making mention of the themes and issues that we find extremely important and is essential in the evaluation show that the job can haveApart from the historical aspects of temperament various topics are also addressed issues relating to the development of new technologies as well as formulas and calculations that contributed to the development and certification of these technologiesWe all know how important the role that engineering electro electronics has played in our daily lives to the point of being present in almost all branches of human activity primarily in the communications information and productionIn this work special attention is given to topics that address issues and knowledge that relate to the chosen course (sound engineering) that because it is a very comprehensive is sustained mainly by electronics construction innovation sensitivity etcThe use and development of new technologies is making life easier for itms that are linked to communication and media events in generalNow in this case the sound is something that accompanies us throughout our life since the alarm clock that wakes us in the morning to noticeable various sounds that surround us and that we transmit sound images of what surrounds us and which relates with all human activityThere are countries where we can hardly feel in calm environments as human activity and not only cause stress and consequently health problems to the population

Adriano Pedro Rodrigues

2013-01-21

6

ENGINEERING

11Electronic Engineering is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electrictity as part of its driving force

That encompasses many subfields including those that deal with power instrumentation engineering telecommunications and semiconductor circuit design amongst many othersThe name electrical engineering is still used to cover electronic engineering amongst some of the older (notably American) universities and graduates there are called electrical engineers The distinction between electronic and electrical engineers is becoming moreand more distinct While electrical engineers utilize voltage and current to deliver power electronic engineers utilize voltage and current to deliver information through information technology11 History of ElectronicEngineeringElectronic engineering as a profession sprang from technological improvements in the telegraph industry in the late 1800s and the radio and the telephone industries in the early 1900s People were attracted to radio by the technical fascination it inspired first in receiving and then in transmittingIn 1948 came the transistor and in 1960 the IC to revolutionize the electronic industry In the UK the subject of electronic engineering became distinct from electrical engineering as a university degree subject around 1960

Early electronics

1896 Marconi patente

In 1893 Nikola Tesla made the first public demonstration of radio communicationThe Franklin Institute in Philadelphia and the National Electric Light Association he described and demonstrated in detail the principles of radio communication In 1896 Guglielmo Marconi went on to develop a practical and widely used radio system In 1904 John Ambrose Fleming the first professor of electrical Engineering at University College London invented the first radio tube the diode

7

In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

8

Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 5: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

5

INTRODUCTION

Electronic Engineering

Is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electricity as part of its driving force In our work on electronic engineering we present our acquired knowledge by making mention of the themes and issues that we find extremely important and is essential in the evaluation show that the job can haveApart from the historical aspects of temperament various topics are also addressed issues relating to the development of new technologies as well as formulas and calculations that contributed to the development and certification of these technologiesWe all know how important the role that engineering electro electronics has played in our daily lives to the point of being present in almost all branches of human activity primarily in the communications information and productionIn this work special attention is given to topics that address issues and knowledge that relate to the chosen course (sound engineering) that because it is a very comprehensive is sustained mainly by electronics construction innovation sensitivity etcThe use and development of new technologies is making life easier for itms that are linked to communication and media events in generalNow in this case the sound is something that accompanies us throughout our life since the alarm clock that wakes us in the morning to noticeable various sounds that surround us and that we transmit sound images of what surrounds us and which relates with all human activityThere are countries where we can hardly feel in calm environments as human activity and not only cause stress and consequently health problems to the population

Adriano Pedro Rodrigues

2013-01-21

6

ENGINEERING

11Electronic Engineering is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electrictity as part of its driving force

That encompasses many subfields including those that deal with power instrumentation engineering telecommunications and semiconductor circuit design amongst many othersThe name electrical engineering is still used to cover electronic engineering amongst some of the older (notably American) universities and graduates there are called electrical engineers The distinction between electronic and electrical engineers is becoming moreand more distinct While electrical engineers utilize voltage and current to deliver power electronic engineers utilize voltage and current to deliver information through information technology11 History of ElectronicEngineeringElectronic engineering as a profession sprang from technological improvements in the telegraph industry in the late 1800s and the radio and the telephone industries in the early 1900s People were attracted to radio by the technical fascination it inspired first in receiving and then in transmittingIn 1948 came the transistor and in 1960 the IC to revolutionize the electronic industry In the UK the subject of electronic engineering became distinct from electrical engineering as a university degree subject around 1960

Early electronics

1896 Marconi patente

In 1893 Nikola Tesla made the first public demonstration of radio communicationThe Franklin Institute in Philadelphia and the National Electric Light Association he described and demonstrated in detail the principles of radio communication In 1896 Guglielmo Marconi went on to develop a practical and widely used radio system In 1904 John Ambrose Fleming the first professor of electrical Engineering at University College London invented the first radio tube the diode

7

In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

8

Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 6: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

6

ENGINEERING

11Electronic Engineering is an engineering discipline which uses the scientific knowledge of the behavior and effects of electrons to develop components devices systems or equipment (as in electron tubes transistors integrated circuits and printed circuit boards) that uses electrictity as part of its driving force

That encompasses many subfields including those that deal with power instrumentation engineering telecommunications and semiconductor circuit design amongst many othersThe name electrical engineering is still used to cover electronic engineering amongst some of the older (notably American) universities and graduates there are called electrical engineers The distinction between electronic and electrical engineers is becoming moreand more distinct While electrical engineers utilize voltage and current to deliver power electronic engineers utilize voltage and current to deliver information through information technology11 History of ElectronicEngineeringElectronic engineering as a profession sprang from technological improvements in the telegraph industry in the late 1800s and the radio and the telephone industries in the early 1900s People were attracted to radio by the technical fascination it inspired first in receiving and then in transmittingIn 1948 came the transistor and in 1960 the IC to revolutionize the electronic industry In the UK the subject of electronic engineering became distinct from electrical engineering as a university degree subject around 1960

Early electronics

1896 Marconi patente

In 1893 Nikola Tesla made the first public demonstration of radio communicationThe Franklin Institute in Philadelphia and the National Electric Light Association he described and demonstrated in detail the principles of radio communication In 1896 Guglielmo Marconi went on to develop a practical and widely used radio system In 1904 John Ambrose Fleming the first professor of electrical Engineering at University College London invented the first radio tube the diode

7

In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

8

Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 7: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

7

In 1906 Robert von Lieben and Lee De Forest independently developed the amplifier tube called the triodeVacuum tubes remained the preferred amplifying device for 40 years until researchers working for William Shockley at Bell Labs invented the transistor in 1947 In the following years transistors made small portable radios or transistor radios possible as well as allowing more powerful mainframe computers to be built Transistors were smaller and required lower voltages than vacuum tubes to workThe terms wireless and radio were then used to refer to anything electronic

Before the invention of the integrated circuit in 1959 electronic circuits were constructed from discrete components that could be manipulated by hand Non-integrated circuits consumed much space and power were prone to failure and were limited in speed although they are still common in simple applications By contrast integrated circuits packed a large number mdash often millions mdash of tiny electrical components mainly transistors into a small chip around the size of a coin12 The vacuum tube detector

The invention of the triode amplifier generator and detector made audio communication by radio practical Through the mid 1920s the most common type of receiver was the crystal set In the 1920s amplifying vacuum tubes revolutionized both radio receivers and transmittersIn 1928 Philo Farnsworth made the first public demonstration of purely electronic televisionOne of the latest and most advance technologies in TV screensdisplays has to do entirely with electronics principles and itrsquos the OLED (organic light emitting diode) displays and itrsquos most likely to replace LCD and Plasma technologiesDuring World War II many efforts were expended in the electronic location of enemy targets and aircraft These included radio beam guidance of bombers electronic counter measures early radar systems etc During this time very little if any effort was expended on consumer electronics developments13 History of computing hardware

The elements of computing hardware have undergone significant improvement over their history This improvement has triggered worldwide use of the technology performance has improved and the price has declined Computers are accessible to ever-increasing sectors of the worlds population Computing hardware has become a platform for uses other than computation such as automation communication control entertainment and educationThe von Neumann architecture unifies current computing hardware implementations The history of computer data storage is tied to the development of computers The major elements of computing hardware implement abstractions input output memory and processor A processor is composed of control and datapath In thevon Neumann architecture control of the datapath is stored in memory This allowed control to become an automatic process the datapath could be under software control perhaps in response to events

8

Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 8: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

8

Analog computers have used lengths pressures voltages and currents to represent the results of calculations Eventually the voltages or currents were standardized and then digitized Digital computing elements have ranged from mechanical gears to electromechanical relays to vacuum tubes to transistors and to integrated circuits all of which are currently implementing the von Neumann architecture

The castle clock an astronomical clock invented by Al-Jazari in 1206 is considered to be the earliest programmable analog computerYazu Arithmometer Patented in Japan in 1903 Note the lever for turning the gears of the calculatorGerman polymath Wilhelm Schickard built the first digital mechanical calculator in 1623 and thus became the father of the computing eraLeibniz also described the binary numeral system a central ingredient of all modern computers However up to the 1940s many subsequent designs (including Charles Babbages machines of the 1800s and even ENIAC of 1945) were based on the decimal system Yazu Arithmometer in 1903 It consisted of a single cylinder and 22 gears and employed the mixed base-2 and base-5 number system familiar to users to the soroban (Japanese abacus)In 1835 Babbage described his analytical engine It was the plan of a general-purpose programmable computer employing punch cards for input and a steam engine for power

IBM 407 tabulating machine (1961)

A reconstruction of the Difference Engine II an earlier more limited design has been operational since 1991 at the London Science Museum With a few trivial changes it works as Babbage designed it and shows that Babbage was right in theoryHolleriths company eventually became the core of IBM IBM developed punch card technology into a powerful tool for business data- rocessing and produced an extensive line of unit record equipment By 1950 the IBM card had become ubiquitous in industry and governmentThe Thomas J Watson Astronomical Computing Bureau Columbia University performed astronomical calculations representing the state of the art in computingThe computer users for example science and engineering students at universities would submit their programming assignments to their local computer center in the form of a stack of cards one card per program line

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 9: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

9

Punched cards are still used and manufactured to this day and their distinctive dimensions (and 80-column capacity) can still be recognized in forms records and programs around the world

14 Desktop calculatorsCompanies like Friden Marchant Calculator and Monroe made desktop mechanical calculators from the 1930s that could add subtract multiply and divideOver time during the 1950s and 1960s a variety of different brands of mechanical calculator appeared on the market The first allelectronicdesktop calculator was the British ANITA MkVII which used a Nixie tube display and 177 subminiature thyratron tubes

Advanced analog computers

Before World War II mechanical and electrical analog computers were considered the state of the art and many thought they were the future of computingUnlike modern digital computers analog computers are not very flexible and need to be reconfigured (ie reprogrammed) manually to switch them from working on one problem to another Analog computers had an advantage over early digital computers in that they could be used to solve complex problems using behavioral analogues while the earliest attempts at digital computers were quite limitedBut as digital computers have become faster and use larger memory (for example RAM or internal storage) they have almost entirely displaced analog computers 15 Digital computationThe era of modern computing began with a flurry of development before and during World War II as electronic circuit elements replaced mechanical equivalents and digital calculations replaced analog calculations Machines such as the Z3 the AtanasoffndashBerry Computer the Colossus computers and the ENIAC were built by hand using circuits containing relays or valves (vacuum tubes) and often used punched cards or punched paper tape for input and as the main (non-volatile) storage mediumFor a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for example

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 10: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

10

Nine-track magnetic tape

For a computing machine to be a practical general-purpose computer there must be some convenient read-write mechanism punched tape for exampleJohn von Neumann defined an architecture which uses the same memory both to store programs and data virtually all contemporary computers use this architecture (or some variant) While it is theoretically possible to implement a full computer entirely mechanically (as Babbages design showed) electronics made possible the speed and later the miniaturization that characterize modern computersGeorge Stibitz is internationally recognized as one of the fathers of the modern digital computer While working at Bell Labs in November 1937 Stibitz invented and built a relay-based calculator that he dubbed the Model K (for kitchen table on which he had assembled it) which was the first to calculate using binary formThe Atanasoff-Berry Computer was the worlds first electronic digital computer The design used over 300 vacuum tubes and employed capacitors fixed in a mechanically rotating drum for memory Though the ABC machine was not programmable it was the first to use electronic tubes in an adder

ENIAC

The US-built ENIAC (Electronic Numerical Integrator and Computer) was the first electronic general-purpose computer It combined for the first time the high speed of electronics with the ability to be programmed for many complex problemsThe computer MESM (МЭСМ Small Electronic Calculating Machine) became operational in 1950 It had about 6000 vacuum tubes and consumed 25 kW of power It could perform approximately 3000 operations per second

16 Commercial computers

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 11: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

11

IBM introduced a smaller more affordable computer in 1954 that proved very popularThe IBM 650 weighed over 900 kg the attached power supply weighed around 1350 kg The first transistorized computer was built at the University of Manchester and was operational by 1953 The bipolar junction transistor (BJT) was invented in 1947 If no electrical current flows through the base-emitter path of a bipolar transistor the transistors collector-emitter path blocks electrical current (and the transistor is said to turn full off) If sufficient current flows through the base-emitter path of a transistor that transistors collector-emitter path also passes current (and the transistor is said to turn full on) Current flow or current blockage represent binary 1 (true) or 0 (false) respectively From 1955 onwards bipolar junction transistors replaced vacuum tubes in computer designs giving rise to the second generation of computers Compared to vacuum tubes transistors have many advantages they are less expensive to manufacture and are much faster switching from the condition 1 to 0 in millionths or billionths of a second Transistor volume is measured in cubic millimeters compared to vacuum tubes cubic centimeters Transistors lower operating temperature increased their reliability compared to vacuum tubesTransistorized computers could contain tens of thousands of binary logic circuits in a relatively compact spaceTransistors greatly reduced computers size initial cost and operating costTypically second-generation computers were composed of large numbers of printed circuit boards such as the IBM Standard Modular System each carrying one to four logic gates or flip-flops

RAMAC DASDThe second generation disk data storage units were able to store tens of millions of letters and digits Multiple Peripherals can be connected to the CPU increasing the total memory capacity to hundreds of millions of charactersDuring the second generation remote terminal units (often in the form of teletype machines like a Friden Flexowriter) saw greatly increased use Telephone connections provided sufficient speed for early remote terminals and allowed hundreds of kilometers separation between remote-terminals and the computing center Eventually these standalone computer networks would be generalized into an interconnected network of networksmdashthe Internet

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

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Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 12: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

12

Intel 8742 eight-bit microcontroller IC

The explosion in the use of computers began with third-generation computers making use of Jack St Clair Kilbys and Robert Noyces independent invention of the integrated circuit (or microchip) which later led to the invention of the microprocessor by Ted Hoff Federico Faggin and Stanley Mazor at IntelAs late as 1975 Sperry Univac continued the manufacture of second-generation machines such as the UNIVAC 494 The Burroughs large systems such as the B5000 were stack machines which allowed for simpler programming These pushdown automatons were also implemented in minicomputers and microprocessors later which influenced programming language designMinicomputers served as low-cost computer centers for industry business and universitiesMicrocomputers the first of which appeared in the 1970s became ubiquitous in the 1980s and beyond Steve Wozniak co-founder of Apple Computer is credited with developing the first mass-market home computersIn the twenty-first century multi-core CPUs became commercially availableWhen the CMOS field effect transistor-based logic gates supplanted bipolar transistors computer power consumption could decrease dramatically (A CMOS Field-effect transistor only draws significant current during the transition between logic states unlike the substantially higher (and continuous) bias current draw of a BJT) This has allowed computing to become a commodity which is now ubiquitous embedded in many forms from greeting cards and telephones to satellitesThe arithmetic performance of these machines allowed engineers to develop completely new technologies and achieve new objectives Early examples include the Apollo missions and the NASA moon landingThe invention of the transistor in 1947 by William B Shockley John Bardeen and Walter Brattain opened the door for more compact devices and led to the development of the integrated circuit in 1959 by Jack Kilby

17 Microprocessors

The first PC was announced to the general public on the cover of the January 1975 issue of Popular ElectronicsIn the field of electronic engineering engineers design and test circuits that use the electromagnetic properties of electrical components such as resistors capacitors inductors diodes and transistors to achieve a particular functionality The tuner circuit

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 13: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

13

which allows the user of a radio to filter out all but a single station is just one example of such a circuitIn designing an integrated circuit electronics engineers first construct circuit schematics that specify the electrical components and describe the interconnections between themIntegrated circuits and other electrical components can then be assembled on printed circuit boards to form more complicated circuits Today printed circuit boards are found in most electronic devices including televisions computers and audio players

18 Electromagnetism amp Photoelectric Effect

Electromagnetism is the physics of the electromagnetic field a field that exerts a force on particles with the property of electric charge and is reciprocally affected by the presence and motion of such particlesA changing magnetic field produces an electric field (this is the phenomenon of electromagnetic induction the basis of operation for electrical generators induction motors and transformers) Similarly a changing electric field generates a magnetic fieldThe magnetic field is produced by the motion of electric charges ie electric currentThe magnetic field causes the magnetic force associated with magnetsThe theoretical implications of electromagnetism led to the development of special relativity by Albert Einstein in 1905 and from this it was shown that magnetic fields and electric fields are convertible with relative motion as a four vector and this led to their unification as electromagnetism181 History

While preparing for an evening lecture on 21 April 1820 Hans Christian Oslashrsted developed an experiment that provided surprising evidence As he was setting up his materials he noticed a compass needle deflected from magnetic north when the electric current from the battery he was using was switched on and off This deflection convinced him that magnetic fields radiate from all sides off of a wire carrying an electric current just as light and heat do and that it confirmed a direct relationship between electricity and magnetismOslashrsteds discovery also represented a major step toward a unified concept of energyThis unification which was observed by Michael Faraday extended by James Clerk Maxwell and partially reformulated by Oliver Heaviside and Heinrich Hertz is one of the accomplishments of 19th century Mathematical PhysicsDifferent frequencies of oscillation give rise to the different forms of electromagnetic radiation from radio waves at the lowest frequencies to visible light at intermediate frequencies to gamma rays at the highest frequenciesOslashrsted was not the only person to examine the relation between electricity and magnetism In 1802 Gian Domenico Romagnosi an Italian legal scholar deflected a magnetic needle by electrostatic charges Actually no galvanic current existed in the setup and hence no electromagnetism was presentThe force that the electromagnetic field exerts on electrically charged particles called the electromagnetic force is one of the fundamental forces The other

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 14: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

14

fundamental forces are strong nuclear force (which holds atomic nuclei together) the weak nuclear force andthe gravitational force All other forces are ultimately derived from these fundamental forcesThe electromagnetic force is the one responsible for practically all the phenomena encountered in daily life with the exception of gravity All the forces involved in interactions between atoms can be traced to the electromagnetic force acting on the electrically charged protons and electrons inside the atomsIt also includes all forms of chemical phenomena which arise from interactions between electron orbitals182 Classical electromagnetism

Classical electromagnetism (or classical electrodynamics) is a branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents It provides an excellent description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible (see quantum electrodynamics)The outstanding problem with classical electrodynamics as stated by Jackson is that we are able to obtain and study relevant solutions of its basic equations only in two limiting cases raquo one in which the sources of charges and currents are specified and the resulting electromagnetic fields are calculated and the other in which external electromagnetic fields are specified and the motion of charged particles or currents is calculated Occasionallythe two problems are combined183 Electromagnetic waves

A changing electromagnetic field propagates away from its origin in the form of a waveThese waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency) radio waves microwaves light (infrared visible light and ultraviolet) x-rays and gamma rays In the field of particle physics this electromagnetic radiation is the manifestation of the electromagnetic interaction between charged particlesPhotoelectric effectThe photoelectric effect is a phenomenon in which electrons are emitted from matter (metals and non-metallic solids liquids or gases) after the absorption of energy from electromagnetic radiation such as X-rays or visible light The emitted electrons can be referred to as photoelectrons in this context The effect is also termed the Hertz EffectThe photoelectric effect takes place with photons with energies from about a few electronvolts to in some cases over 1 MeV184 Introduction and early historical view

With James Clerk Maxwells wave theory of light which was thought to predict that the electron energy would be proportional to the intensity of the radiation In 1905 Einstein solved this apparent paradox by describing light as composed of discrete quanta now called photons rather than continuous waves

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 15: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

15

A photon above a threshold frequency has the required energy to eject a single electron creating the observed effect This discovery led to the quantum revolution in physics and earned Einstein the Nobel Prize in 1921185 Traditional explanation

In the photoemission process if an electron within some material absorbs the energy of one photon and thus has more energy than the work function (the electron binding energy) of the material it is ejected If the photon energy is too low the electron is unable to escape the material Increasing the intensity of the light beam increases the number of photons in the light beam and thus increases the number of electrons emitted but does not increase the energy that each electron possesses Thus the energy of the emitted electrons does not depend on the intensity of the incoming light but only on the energy of the individual photonsAccording to Einsteins special theory of relativity the relation between energy (E) and momentum (p) of a particle is where m is the rest mass of the particle and c is the velocity of light in a vacuumIn 1887 Heinrich Hertz observed the photoelectric effect and the production and reception of electromagnetic (EM) waves His receiver consisted of a coil with a spark gap where a spark would be seen upon detection of EM waves He placed the apparatus in a darkened box to see the spark better However he noticed that the maximum spark length was reduced when in the box A glass panel placed between the source of EM waves and the receiver absorbed ultraviolet radiation that assisted the electrons in jumping across the gap When removed the spark length would increase He observed no decrease in spark length when he substituted quartz for glass as quartz does not absorb UV radiation Hertz concluded his months of investigation and reported the results obtained186Stoletov the first law of photoeffect

Stoletov invented a new experimental setup which was more suitable for a quantitative analysis of photoeffectHe discovered the direct proportionality between the intensity of light and the induced photo electric current (the first law of photoeffect or Stoletovs law)He found the existence of an optimal gaspressure Pm corresponding to a maximum photocurrent this property was used for a creation of solar cellsIn 1902 Philipp Lenard observed the variation in electron energy with light frequencyHe found the electron energy by relating it to the maximum stopping potential (voltage) in a phototube He found that the calculated maximum electron kinetic energy is determined by the frequency of the light For example an increase in frequency results in an increase in the maximum kinetic energy calculated for an electron upon liberation - ultraviolet radiation would require a higher applied stopping potential to stop current in a phototube than blue lightThe current emitted by the surface was determined by the lights intensity or brightness doubling the intensity of the light doubled the number of electrons emitted from the surface Lenard did not know of photons

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 16: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

16

187 Einstein light quanta

Assuming that Hertzian oscillators could only exist at energies E proportional to the frequency f of the oscillator by E = hf where h is Plancks constantIt explained why the energy of photoelectrons were dependent only on the frequency of the incident light and not on its intensity a low intensity high-frequency source could supply a few high energy photons whereas a high intensity low-frequency source would supply no photons of sufficient individual energy to dislodge any electronsEinsteins work predicted that the energy of individual ejected electrons increases linearly with the frequency of the lightBy 1905 it was known that the energy of photoelectrons increases with increasing frequency of incident light and is independent of the intensity of the light188 Uses and effectsThe photocathode contains combinations of materials such as caesium rubidium and antimony specially selected to provide a low work function so when illuminated even by very low levels of light the photocathode readily releases electronsPhotomultipliers are still commonly used wherever low levels of light must be detectedSilicon image sensors such as charge-coupled devices widely used for photographic imaging are based on a variant of the photoelectric effect in which photons knock electrons out of the valence band of energy states in a semiconductor but not out of the solid itself

The gold leaf electroscope

The electroscope is an important tool in illustrating the photoelectric effectshining high-frequency light onto the cap the scope discharges and the leaf will fall limpThe frequency of the light shining on the cap is above the caps threshold frequency The photons in the light have enough energy to liberate electrons from the cap reducing its negative charge189 Photoelectron spectroscopy

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 17: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

17

Photoelectron spectroscopy is done in a high-vacuum environment since the electrons would be scattered by significant numbers of gas atoms present (eg even in low-pressure air)The photoelectric effect will cause spacecraft exposed to sunlight to develop a positive charge This can get up to the tens of voltsThe static charge created by the photoelectric effect is self-limiting though because a more highly-charged object gives up its electrons less easily1810 Cross sectionThe photoelectric effect is simply an interaction mechanism conducted between photons and atoms However this mechanism does not have exclusivity in interactions of this nature and is one of 12 theoretically possible interactions The probability of the photoelectric effect occurring is measured by the cross section of interaction σ This has been found to be a function of the atomic number of the target atom and photon energy A crude approximation for photon energies above the highest atomic binding energy is given by Where n is a number which varies between 4 and 5

1811Electromagnetic units are part of a system of electrical units based primarily upon the magnetic properties of electric currents the fundamental SI unit being the ampere The units areAmpere (current)Coulomb (charge)Farad (capacitance)Henry (inductance)Ohm (resistance)Volt (electric potential)Watt (power)Tesla (magnetic field)In the electromagnetic system electrical current is a fundamental quantity defined via Ampegraveres law and takes the permeability as a dimensionless quantity (relative permeability) whose value in a vacuum is unity1812 Electromagnetic phenomenaWith the exception of gravitation electromagnetic phenomena as described by quantum electrodynamics account for almost all physical phenomena observable to the unaided human senses including light and other electromagnetic radiation all of chemistry most of mechanics (excepting gravitation) and of course magnetism and electricity1813 Electronic devices and circuitsEnergy bands in silicon intrinsic and extrinsic silicon Carrier transport in silicon diffusion current drift current mobility resistivity Generation and recombination of carriers p-n junction diode Zener diode tunnel diode BJT JFET MOS capacitor MOSFET LED p-i-n and avalanche photo diode LASERs Device technology integrated circuit fabrication process oxidation diffusion ion implantation photolithography n-tub p-tub and twin-tub CMOS process1814 Analog circuits Equivalent circuits (large and small-signal) of diodes BJTs JFETs and MOSFETs Simple diode circuits clipping clamping rectifier Biasing and bias stability of transistor and FET amplifiers Amplifiers single-and multi-stage differential operational feedback and power Analysis of amplifiers frequency response of amplifiers Simple op-amp circuits Filters Sinusoidal

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 18: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

18

oscillators criterion foroscillation single-transistor and op-amp configurations Function generators and waveshaping circuits Power supplies1815 Digital circuits of Boolean functions logic gates digital IC families (DTL TTL ECL MOS CMOS) Combinational circuits arithmetic circuits code converters multiplexers and decoders Sequential circuits latches and flip-flops counters and shift-registersSample and hold circuits ADCs DACs Semiconductor memories Microprocessor 8086 architecture programming memory and IO interfacing2 Signal processing TelecommunicationsEngineering amp Control engineering

It deals with the analysis and manipulation of signals Signals can be either analog in which case the signal varies continuously according to the information or digital in which case the signal varies according to a series of discrete values representing the information21Signal processing is an area of applied mathematics that deals with operations on or analysis of signals in either discrete or continuous time to perform useful operations on those signals Depending upon the application a useful operation could be control data compression data transmission denoising prediction filtering smoothing deblurring tomographic reconstruction identification classification or a variety of other operationsSignals of interest can include sound images time-varying measurement values and sensor data for example biological data such as electrocardiograms control system signals telecommunication transmission signals such as radio signals and many others22 Categories of signal processing Analog signal processing mdash for signals that have not been digitized as in classical radio telephone radar and television systems This involves linear electronic circuits such as passive filters active filters additive mixers integrators and delay lines It also involves non-linear circuits such as compandors multiplicators (frequency mixers and voltage-controlled amplifiers) voltage-controlled filters voltage-controlled oscillators and phase-locked loopsAnalog discrete-time signal processing is a technology based on electronic devices such as sample and hold circuits analog time-division multiplexers analog delay lines and analog feedback shift registersDigital signal processing mdash for signals that have been digitized Processing is done by general-purpose computers or by digital circuits such as ASICs fieldprogrammable gate arrays or specialized digital signal processors (DSP chips)Typical arithmetical operations include fixed-point and floating-point real-valued and complex-valued multiplication and addition Other typical operations supported by the hardware are circular buffers and look-up tables Examples of algorithms are the Fast Fourier transform (FFT) finite impulse response (FIR) filter Infinite impulse response (IIR) filter Wiener filter and Kalman filterFor analog signals signal processing may involve the amplification and filtering of audio signals for audio equipment or the modulation and demodulation of signals for telecommunications For digital signals signal processing may involve the compression error checking and error detection of digital signals

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 19: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

19

23 Telecommunications engineeringIt deals with the transmission of information across a channel such as a co-axial cable optical fiber or free spaceTransmissions across free space require information to be encoded in a carrier wave in order to shift the information to a carrier frequency suitable for transmission this is known as modulation Popular analog modulation techniques include amplitude modulation and frequency modulation The choice of modulation affects the cost and performance of a system and these two factors must be balanced carefully by the engineerOnce the transmission characteristics of a system are determined telecommunication engineers design the transmitters and receivers needed for such systems These two are sometimes combined to form a two-way communication device known as a transceiverTelecommunications is a diverse field of engineering including electronics civil structural and electrical engineering as well as being a political and social ambassador a little bit of accounting and a lot of project managementTelecom engineers are often expected as most engineers are to provide the best solution possible for the lowest cost to the company24 Telecom equipment engineerA telecom equipment engineer is an electronics engineer that designs equipment such as routers switches multiplexers and other specialized computerelectronics equipment designed to be used in the telecommunication network infrastructureAs electrical engineers OSP engineers are responsible for the resistance capacitance and inductance (RCL) design of all new plant to ensure telephone service is clear and crisp and data service is clean as well as reliable Attenuation and loop loss calculations are required to determine cable length and size required to provide the service called forAs civil engineers OSP egineers are responsible for drawing up plans either by hand or using Computer Aided Drafting (CAD) software for how telecom plant facilities will be placed Often when working with municipalities trenching or boring permits are required and drawings must be made for theseStructural calculations are required when boring under heavy traffic areas such as highways or when attaching to other structures such as bridgesAs Political and Social Ambassador the OSP Engineer is the telephone operating companiesrsquo face and voice to the local authorities and other utilities25 Control engineering

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 20: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

20

Control systems play a critical role in space flight

Control engineering is the engineering discipline that applies control theory to design systems with predictable behaviors The engineering activities focus on the mathematical modeling of systems of a diverse natureControl engineering has an essential role in a wide range of control systems from a simple household washing machine to a complex high performance F-16 fighter aircraftThe scope of classical control theory is limited to single-input and single-output (SISO) system designIn contrast modern control theory is strictly carried out in complex-s domain or in frequency domain and can deal with multi-input and multioutput (MIMO) systemsToday many of the control systems are computer controlled and they consist of both digital and analogue componentsThe first of these two methods is more commonly encountered in practice because many industrial systems have many continuous systems components including mechanical fluid biological and analogue electrical components with a few digital controllers

26 Instrumentation Engineering ampComputer EngineeringThe design of instrumentation requires a good understanding of physics that often extends beyond electromagnetic theory For example radar guns use the Doppler effect to measure the speed of oncoming vehicles Similarly thermocouples use the Peltier- Seebeck effect to measure the temperature difference between two pointsInstrumentation engineering is often viewed as the counterpart of control engineering

Pneumatic PID controller

Instrumentation is the branch of engineering that deals with measurement and controlAn instrument is a device that measures or manipulates variables such as flow temperature level or pressure Instruments include many varied contrivances

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 21: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

21

which can be as simple as valves and transmitters and as complex as analyzersThe control of processes is one of the main branches of applied instrumentationIn addition to measuring field parameters instrumentation is also responsible for providing the ability to modify some field parametersTo control the parameters in a process or in a particular system Microprocessors Microcontrollers PLCs etc are used But their ultimate aim is to control the parameters of a system27 Computer Systems Engineering) is a discipline that combines both Electrical Engineering and Computer Science Computer engineers may also work on a systems softwareThe design of complex software systems is often the domain of software engineering which is usually considered a separate disciplineComputer engineers usually have training in electrical engineering software design and hardware-software integration instead of only software engineering or electrical engineering Usual tasks involving computer engineers include writing software and firmware for embedded microcontrollers designing VLSI chips designing analog sensors designing mixed signal circuit boards and designing operating systems Computer engineers are also suited for robotics research which relies heavily on using digital systems to control and monitor electrical systems like motors communications and sensors28 AlgorithmAlgorithm is a finite sequence of instructions logic an explicit step-by-step procedure for solving a problem often used for calculation and data processing and many other fieldsThe transition from one state to the next is not necessarily deterministic some algorithms known as probabilistic algorithms incorporate randomnessA prototypical example of an algorithm is Euclids algorithm to determine the maximum common divisor of two integers (X and Y) which are greater than one We follow a series of steps In step i we divide X by Y and find the remainder which we call R1 Then we move to step i + 1 where we divide Y by R1 and find the remainder which we call R2 If R2=0 we stop and say that R1 is the greatest common divisor of X and Y If not we continue until Rn=0 Then Rn-1 is the max common division of X and YWe might expect an algorithm to be an algebraic equation such as y = m + n mdash two arbitrary input variables m and n that produce an output yThe concept of algorithm is also used to define the notion of decidabilityIn logic the time that an algorithm requires to complete cannot be measured as it is not apparently related with our customary physical dimension29 FormalizationAlgorithms are essential to the way computers process informationAn algorithm can be considered to be any sequence of operations that can be simulated by a Turing-complete systemAccording to Savage [1987] an algorithm is a computational process defined by a Turing machine (Gurevich 20003Typically when an algorithm is associated with processing information data is read from an input source written to an output device andor stored for further processingFor any such computational process the algorithm must be rigorously definedThe criteria for each case must be clear (and computable)

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 22: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

22

210 Expressing algorithmsAlgorithms can be expressed in many kinds of notation including natural languages pseudocode flowcharts and programming languages Natural language expressions of algorithms tend to be verbose and ambiguous and are rarely used for complex or technical algorithmsProgramming languages are primarily intended for expressing algorithms in a form that can be executed by a computer but are often used as a way to define or document algorithmsRepresentations of algorithms are generally classed into three accepted levels of Turing machine description (Sipser 2006157)1 High-level descriptionprose to describe an algorithm ignoring the implementation details At this level we do not need to mention how the machine manages its tape or head2 Implementation descriptionprose used to define the way the Turing machine uses its head and the way that it stores data on its tape At this level we do not give details of states or transition function3 Formal descriptionMost detailed lowest level gives the Turing machines state table For an example of the simple algorithm Add m+n described in all three levels211 Computer algorithmsIn computer systems an algorithm is basically an instance of logic written in software by software developers to be effective for the intended target computer(s) in order for the software on the target machines to do something For instance if a person is writing software that is supposed to print out a PDF document located at the operating system folder My Documents at computer drive D every Friday at 10PM they will write an algorithm that specifies the following actionsMost algorithms are intended to be implemented as computer programs However algorithms are also implemented by other means such as in a biological neural network (for example the human brain implementing arithmetic or an insect looking for food) in an electrical circuit or in a mechanical device212 Algorithmic analysisMethods have been developed for the analysis of algorithms to obtain such quantitative answers for example the algorithm above has a time requirement of O(n) using the big O notation with n as the length of the list At all times the algorithm only needs to remember two values the largest number found so far and its current position in the input list Therefore it is said to have a space requirement of O(1) if the space required to store the input numbers is not counted or O(n) if it is counted Different algorithms may complete the same task with a different set of instructions in less or more time space or effort than othersThe analysis and study of algorithms is a discipline of computer science and is often practiced abstractly without the use of a specific programming language or implementation In this sense algorithm analysis resembles other mathematical disciplines in that it focuses on the underlying properties of the algorithm and not on the specifics of any particular implementationIterative algorithms use repetitive constructs like loops and sometimes additional data structures like stacks to solve the given problems

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 23: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

23

Logical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979) The logic component expresses the axioms that may be used in the computation and the control component determines the way in which deduction is applied to the axioms This is the basis for the logic programming paradigmAlgorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeParallel or distributed algorithms divide the problem into more symmetrical or asymmetrical subproblems and collect the results back togetherThe resource consumption in such algorithms is not only processor cycles on each processor but also the communication overhead between the processorsClassificationThere are various ways to classify algorithms each with its own meritsBy implementationOne way to classify algorithms is by implementation meansRecursion or iteration A recursive algorithm is one that invokes (makes reference to) itself repeatedly until a certain condition matches which is a method common to functional programmingSome problems are naturally suited for one implementation or the other For example towers of Hanoi is well understood in recursive implementationLogical An algorithm may be viewed as controlled logical deduction This notion may be expressed as Algorithm = logic + control (Kowalski 1979)In pure logic programming languages the control component is fixed and algorithms are specified by supplying only the logic componentSerial or parallel or distributed Algorithms are usually discussed with the assumption that computers execute one instruction of an algorithm at a timeThose computers are sometimes called serial computers An algorithm designed for such an environment is called a serial algorithm as opposed to parallel algorithms or distributed algorithmsThe greedy methodThe greedy method extends the solution with the best possible decision (not all feasible decisions) at an algorithmic stage based on the current local optimum and the best decision (not all possible decisions) made in a previous stage It is not exhaustive and does not give accurate answer to many problems But when it works it will be the fastest methodWhen solving a problem using linear programming specific inequalities involving the inputs are found and then an attempt is made to maximize (or minimize) some linear function of the inputsReduction This technique involves solving a difficult problem by transforming it into a better known problem for which we have (hopefully) asymptotically optimal algorithms This technique is also known as transform and conquerBy field of studyEvery field of science has its own problems and needs efficient algorithmsDynamic programming was originally invented for optimization of resource consumption in industry but is now used in solving a broad range of problems in many fieldsBy complexityAlgorithms can be classified by the amount of time they need to complete compared to their input size There is a wide variety some problems may have multiple algorithms of differing

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 24: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

24

By computing powerAnother way to classify algorithms is by computing power This is typically done by considering some collection (class) of algorithms A recursive class of algorithms is one that includes algorithms for all Turing computable functionsComplexity while other problems might have no algorithms or no known efficient algorithmsFor example the algorithms that run in polynomial time suffice for many important types of computation but do not exhaust all Turing computable functionsBurgin (2005 p 24) defines a super-recursive class of algorithms as a class of algorithms in which it is possible to compute functions not computable by any Turingmachine

213 Manipulation of symbols

The work of the ancient Greek geometers Persian mathematician Al-Khwarizmi (often considered the father of algebra and from whose name the terms algorism and algorithm are derived) and Western European mathematicians culminated in Leibnizs notion of the calculus ratiocinator

Leibniz proposed an algebra of logic an algebra that would specify the rules for manipulating logical concepts in the manner that ordinary algebra specifies the rules for manipulating numbers (Davis 20001)

214 Mathematics during the 1800s up to the mid-1900sIn rapid succession the mathematics of George Boole (1847 1854) Gottlob Frege (1879) and Giuseppe Peano (1888ndash1889) reduced arithmetic to a sequence of symbols manipulated by rules Peanos The principles of arithmetic presented by a new method (1888) was the first attempt at an axiomatization of mathematics in a symbolic language (van Heijenoort81ff)Effective calculability In an effort to solve the Entscheidungs problem defined precisely by Hilbert in 1928 mathematicians first set about to define what was meant by an effective method or effective calculation or effective calculability (ie a calculation that would succeed)

Emil Post (1936) and Alan Turing (1936-7 1939)Here is a remarkable coincidence of two men not knowing each other but describing a process of men-as-computers working on computations mdash and they yield virtually identical definitionsAn electrical network is an interconnection of electrical elements such as resistors inductors capacitors transmission lines voltage sources current sources and switchesAn electrical circuit is a network that has a closed loop giving a return path for the current A network is a connection of two or more components and may not necessarily be a circuitElectrical networks that consist only of sources (voltage or current) linear lumped elements (resistors capacitors inductors) and linear distributed elements (transmission lines) can be analyzed by algebraic and transform methods to determine DC response AC response and transient response

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 25: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

25

A network that also contains active electronic components is known as an electronic circuit Such networks are generally nonlinear and require more complex design and analysis tools215 Design methodsTo design any electrical circuit either analog or digital electrical engineers need to be able to predict the voltages and currents at all places within the circuit Linear circuits that is circuits with the same input and output frequency can be analyzed by hand using complex number theory Other circuits can only be analyzed with specialized software programs or estimation techniquesCircuit simulation software such as VHDL and HSPICE allows engineers to design circuits without the time cost and risk of error involved in building circuit prototypes216 Electrical lawsOhms law The voltage across a resistor is equal to the product of the resistance and the current flowing through it (at constant temperature)Nortons theorem Any network of voltage andor current sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistorTheacutevenins theorem Any network of voltage andor current sources and resistors is electrically equivalent to a single voltage source in series with a single resistorOther more complex laws may be needed if the network contains nonlinear or reactive components217 DatabaseA database is an integrated collection of logically related records or files which consolidates records into a common pool of data records that provides data for many applications A database is a collection of information that is organized so that it can easily be accessed managed and updatedThe data in a database is organized the data according to a database model The model that is most commonly used today is the relational model Other models such as the hierarchical model and the network model use a more explicit representation of relationshipsDepending on the intended use there are a number of database architectures in use Many databases use a combination of strategiesIt should be noted that not all databases have or need a database schema (so called schema-less databases)There are also other types of database which cannot be classified as relational databases218 Database management systemsA Database Management System (DBMS) is a set of computer programs that controls the creation maintenance and the use of the database of an organization and its end users It allows organizations to place control of organizationwide database development in the hands of Database Administrators (DBAs) and other specialistIn large systems a DBMS allows users and other software to store and retrieve data in a structured wayDBMS Engine accepts logical request from the various other DBMS subsystems converts them into physical equivalent and actually accesses the database and data dictionary as they exist on a storage device

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 26: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

26

Analytical Databases These databases stores data and information extracted from selected operational and external databases They consist of summarized data and information most needed by an organizations manager and other end userData Warehouse Databases It stores data from current and previous years that has been extracted from the various operational databases of an organizationDistributed Databases These are databases of local work groups and departments at regional offices branch offices manufacturing plants and other work sites These databases can include segments of both common operational and common user databases as well as data generated and used only at a userrsquos own siteEnd-User Databases These databases consist of a variety of data files developed by end-users at their workstationsIn-Memory databases It is a database management system that primarily relies on main memory for computer data storageReal-time databases It is a processing system designed to handle workloads whose state is constantly changingObject database modelsIn recent years the object-oriented paradigm has been applied to database technology creating a various kinds of new programming model known as object databases These databases attempt to bring the database world and the application programming world closer together in particular by ensuring that the database uses the same type system as the application programDatabase storage structuresDatabase storage structures Relational database tablesindexes are typically stored in memory or on hard disk in one of many forms orderedunordered flat files Object databases use a range of storage mechanisms Some use virtual memory mapped files to make the native language (C++ Java etc) objects persistentSecurityDatabase security denotes the system processes and procedures that protect a database from unintended activitySecurity is usually enforced through access control auditing and encryptionAuditing logs what action or change has been performed when and by whom Access control ensures and restricts who can connect and what can be done to the databaseAuditing logs what action or change has been performed when and by whomEncryption Since security has become a major issue in recent years many commercial database vendors provide built-in encryption mechanisms219 Applications of databasesDatabases are used in many applications spanning virtually the entire range of computer software Databases are the preferred method of storage for large multiuser applications where coordination between many users is neededSoftware database drivers are available for most database platforms so that application software can use a common Application Programming Interface to retrieve the information stored in a database Two commonly used database APIs are JDBC and ODBC220 Digital electronics

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 27: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

27

Digital electronics are electronics systems that use digital signals Digital electronics are representations of Boolean algebra (also see truth tables) and are used in computers mobile phones and other consumer products In a digital circuit a signal is represented in discrete states or logic levels The advantages of digital techniques stem from the fact it is easier to get an electronic device to switch into one of a number of known states than to accurately reproduce a continuous range of values traditionally only two states 1 and 0 are used though digital systems are not limited to this221 AdvantagesOne advantage of digital circuits when compared to analog circuits is that signals represented digitally can be transmitted without degradation due to noise For example a continuous audio signal transmitted as a sequence of 1s and 0s can be reconstructed without error provided the noise picked up in transmission is not enough to prevent identification of the 1s and 0s An hour of music can be stored on a compact disc as about 6 billion binary digitsIn a digital system a more precise representation of a signal can be obtained by using more binary digits to represent itIn an analog system additional resolution requires fundamental improvements in the linearity and noise charactersitics of each step of the signal chainThe noiseimmunity of digital systems permits data to be stored and retrieved without degradationIn an analog system noise from aging and wear degrade the information stored In a digital system as long as the total noise is below a certain level the information can be recovered perfectly222 DisadvantagesIn some cases digital circuits use more energy than analog circuits to accomplish the same tasks thus producing more heat In portable or battery-powered systems this can limit use of digital systemsDigital circuits are sometimes more expensive especially in small quantitiesFor example light temperature sound electrical conductivity electric and magnetic fields are analog Most useful digital systems must translate from continuous analog signals to discrete digital signals This causes quantization errorsDigital fragility can be reduced by designing a digital system for robustness223 Analog issues in digital circuitsDigital circuits are made from analog components The design must assure that the analog nature of the components doesnt dominate the desired digital behavior Digital systems must manage noise and timing margins parasitic inductances and capacitances and filter power connectionsDigital circuits are made from analog components digital circuits calculate more slowly than low-precision analog circuits that use a similar amount of space and powerHowever the digital circuit will calculate more repeatably because of its high noise immunityConstructionA digital circuit is often constructed from small electronic circuits called logic gatesA logic gate is an arrangement of electrically controlled switchesThe output of a logic gate is an electrical flow or voltage that can in turn control more logic gates

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 28: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

28

Integrated circuits are the least expensive way to make logic gates in large volumesIntegrated circuits are usually designed by engineers using electronic design automation software (See below for more information)224 Structure of digital systems

Engineers use many methods to minimize logic functions in order to reduce the circuits complexity When the complexity is less the circuit also has fewer errors and less electronics and is therefore less expensiveMost digital systems divide into combinatorial systems and sequential systems A combinatorial system always presents the same output when given the same inputsA sequential system is a combinatorial system with some of the outputs fed back as inputs This makes the digital machine perform a sequence of operationsSequential systems divide into two further subcategories Synchronous sequential systems change state all at once when a clock signal changes state Asynchronous sequential systems propagate changes whenever inputs change Synchronous sequential systems are made of well-characterized asynchronous circuits such as flip-flops that change only when the clock changes and which have carefully designed timing marginsBuilding an asynchronous circuit using faster parts implicitly makes the circuit go fasterMore generally many digital systems are data flow machinesIn the 1980s some researchers discovered that almost all synchronous register-transfer machines could be converted to asynchronous designs by using first-in-first-out synchronization logic In this scheme the digital machine is characterized as a set of data flowsComputer architects have applied large amounts of ingenuity to computer design to reduce the cost and increase the speed and immunity to programming errors of computersSpecialized computers are usually a conventional computer with a special-purpose microprogramThe computer programs are called electronic design automation tools or just EDAoptimized EDA that automatically produces reduced systems of logic gates or smaller lookup tables that still produce the desired outputsMost practical algorithms for optimizing large logic systems use algebraic manipulations or binary decision diagrams and there are promising experiments with genetic algorithms and annealing optimizationsProduction tests are often designed by software tools called test pattern generators These generate test vectors by examining the structure of the logic and systematically generating tests for particular faults

225 Design for testabilityA large logic machine (say with more than a hundred logical variables) can have an astronomical number of possible statesTo save time the smaller sub-machines are isolated by permanentlyinstalled design for test circuitry and are tested independently

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 29: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

29

After all the test data bits are in place the design is reconfigured to be in normal mode and one or more clock pulses are applied to test for faults (eg stuck-at low or stuck-at high) and capture the test result into flip-flops andor latches in the scan shift register(s)Finally the result of the test is shifted out to the block boundary and compared against the predicted good machine resultThe goal of a designer is not just to make the simplest circuit but to keep the component count down Sometimes this results in slightly more complicated designs with respect to the underlying digital logic but nevertheless reduces the number of components board size and even power consumptionFor example in some logic families NAND gates are the simplest digital gate to buildThe reliability of a logic gate describes its mean time between failure (MTBF) Digital machines often have millions of logic gatesDigital machines first became useful when the MTBF for a switch got above a few hundred hoursModern transistorized integrated circuit logic gates have MTBFs ofnearly a trillion (1times1012) hours and need them because they have so many logic gatesFanout describes how many logic inputs can be controlled by a single logic output The minimum practical fanout is about five Modern electronic logic using CMOS transistors for switches have fanouts near fifty and can sometimes go much higherModern electronic digital logic routinely switches at five gigahertz (5times109 hertz) and some laboratory systems switch at more than a terahertz (1times1012 hertz)226 Logic familiesDesign started with relays Relay logic was relatively inexpensive and reliable but slowOccasionally a mechanical failure would occur Fanouts were typically about ten limited by the resistance of the coils and arcing on the contacts from high voltagesLater vacuum tubes were used These were very fast but generated heat and were unreliable because the filaments would burn outIn the 1950s special computer tubes were de veloped with filaments that omitted volatile elements like silicon These ran for hundreds of thousands of hoursThe first semiconductor logic family was Resistor-transistor logicDiode-transistor logic improved the fanout up to about seven and reduced the power Some DTL designs used two power-supplies with alternating layers of NPN and PNP transistors to increase the fanoutTransistor transistor logic (TTL) was a great improvement over theseThis is very fast but uses a lot of power Its now used mostly in radio-frequency circuitsModern integrated circuits mostly use variations of CMOS which is acceptably fast very small and uses very little power227 Embedded system

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 30: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

30

Picture of the internals of a Netgear ADSL modemrouter

An embedded system is a computer system designed to perform one or a few dedicated functions often with real-time computing constraintsIn contrast a general-purpose computer such as a personal computer can do many different tasks depending on programmingSome embedded systems are mass-produced benefiting from economies of scalePhysically embedded systems range from portable devices such as digital watches and MP3 players to large stationary installations like traffic lights factory controllers or the systems controlling nuclear power plantsEmbedded system is not an exactly defined term as many systems have some element of programmability For example Handheld computers share some elements with embedded systems mdash such as the operating systems and microprocessors which power themAutomobiles electric vehicles and hybrid vehicles are increasingly using embedded systems to maximize efficiency and reduce pollution Other automotive safety systems such as anti-lock braking system (ABS) Electronic Stability Control (ESCESP) traction control (TCS) and automatic four-wheel driveIn addition to commonly described embedded systems based on small computers a new class of miniature wireless devices called motes are quickly gaining popularity as the field of wireless sensor networking risesIn 1978 National Engineering Manufacturers Association released a standard for programmable microcontrollers including almost any computer-based controllers such as single board computers numerical and event-based controllers228 CPU platforms

Embedded processors can be broken into two broad categories ordinary microprocessors (μP) and microcontrollers (μC) which have many more peripherals on chip reducing cost and size Contrasting to the personal computer and server markets a fairly large number of basic CPU architectures are usedIn certain applications where small size is not a primary concern the components used may be compatible with those used in general purpose computers

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 31: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

31

A common configuration for very-high-volume embedded systems is the system on a chip (SoC) which contains a complete system consisting of multiple processors multipliers caches and interfaces on a single chip SoCs can be implemented as an application-specific integrated circuit (ASIC) or using a field-programmable gate array (FPGA)228 DebuggingEmbedded Debugging may be performed at different levels depending on the facilities available From simplest to most sophisticated they can be roughly grouped into the following areasA common problem with multi-core development is the proper synchronization of software execution In such a case the embedded system design may wish to check the data traffic on the busses between the processor cores which requires very low-level debugging at signalbus level with a logic analyzer for instanceReliabilityEmbedded systems often reside in machines that are expected to run continuously for years without errors and in some cases recover by themselves if an error occursHigh vs Low VolumeFor high volume systems such as portable music players or mobile phones minimizing cost is usually the primary design consideration Engineers typically select hardware that is just ldquogood enoughrdquo to implement the necessary functionsFor low-volume or prototype embedded systems general purpose computers may be adapted by limiting the programs or by replacing the operating system with a real-time operating systemMicrokernels and exokernelsA microkernel is a logical step up from a real-time OS The usual arrangement is that the operating system kernel allocates memory and switches the CPU to different threads ofexecutionIn general microkernels succeed when the task switching and intertask communication is fast and fail when they are slowAll the software in the system are available to and extensible by application programmersAdditional software componentsIn addition to the core operating system many embedded systems have additional upperlayer software components These components consist of networking protocol stacks like CAN TCPIP FTP HTTP and HTTPS and also included storage capabilities like FAT and Flash memory management systems If the embedded devices has audio and video capabilities then the appropriate drivers and codecs will be present in the system In the case of the monolithic kernels many of these software layers are included In the RTOS category the availability of the additional software components depends upon the commercial offering

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 32: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

32

APPLICATIONS AND BASIC PRINCIPLES OF ABSORBERS

31 Reverberation control

In excessively reverberant spaces the sound echoes around the space making it noisy and difficult to communicate For some reason many restaurateurs seem to think that to create the right atmosphere it is necessary to make speech communication virtually impossible The issue here is reverberationReverberation is the decay of sound after a sound source has stopped and it is a key feature in room acoustics Reverberating is most audible in large spaces with hard surfaces such as cathedrals were the sound echoes around long after the sound was emitted from the source In small spaces with plenty of soft acoustically absorbent materials such as living rooms the absorbent materials quickly absorb the sound energy and the sound dies away rapidly When people talk about rooms being ldquoliverdquo or ldquodeadrdquo this is usually about the perception of reverberanceThe amount of reverberation in a space depends on the size of the room and the amount of sound absorption Adding acoustic absorbers reduce the reflected sound energy in the room and so reduce the reverberance and sound level Consequently the best place for absorption is the ceiling or high up on the walls out of the wayGetting the correct amount of reverberation in a space is vital to the design of most rooms whether the aime is to make music sound beautiful to make speech intelligible to reduce noise levels or to make a space pleasant place to be inReturning to more general reverberation the primary technique for control is absorptionThe reverberation time measures the time taken for the sound pressure level to decay by 60 dB when a sound stops From the impulse response the Schroeder curve must be caccedillculated first by integration before evaluating the reverberation timeSabine showed that the reverberation time could be calculated from the room volume and absorption by

T 60=553VcA

Where V is the room volume c the speed of sound and A the total absorption of all room surfaceThe total absorption of the room can be calculated from the individual absorption coefficients of the rooms surfaces using the following expression

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 33: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

33

A=sumi=l

N

S iαi

The absorption coefficient of a surface is the ratio of the energy absorbed by the surface to the energy incident in values 0 to 1

The absorption coefficient can be defined for a specific angle of incidence or random incidence as required

The reverberation time formulations are statistical models of room acoustic behavior and are only applicable where there are a large number of reflections and the sound field is diffuse For instance at low frequencies the modal behavior of the room makes the sound field non-diffuse Consequently there is a lower frequency bound on the applicability of statistical absorptipn formulations The lower bound is usually taken to be the Schroeder frequency given by

f ge2000radicT 60∕119881Although this formal limit has been known for many years it does not prevent many practitioners standards and researchers still defining and using absorption coefficients below the Schroeder frequency as it is convenient even if not strictly phisically correct

The reverberant field level is reduced by the addition of absorption and hence the noise exposure is decreased by typically up to 3-4dB

There are situations here de absorbent need some different materials Porous absorbers are more effective at mid to high frequencies but this is where the ear is most sensitive and consequently where noise control is most needed in the working environment

If the roomrsquos dimensions are very dissimilar there is a tendency to get different reverberation times in different directions as happens with many factories Sound will decay faster if it is propagating perpendicular rather then parallel to the floor as the perpendicular propagating sound will reflect more often and it is at the reflections that most absorption occurs Even when the room dimensions have been carefully chosen however the frequency response of the room will still be uneven and acoustic treatment is needed

Porous absorbers are not usually used as they would have to be extremely thick to provide significant bass absorption Resonant absorbers are preferred for treating low frequencies The problem with resonant absorbers is that they usually only provide a narrow bandwidth of absorption To cover a wide bandwidth a series of absorbers are required each tuned to a different frequency range

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 34: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

34

32 Echo control in auditoria and lecture theatres

In a large auditorium the reflection from the rear wall is a common source of echo problems for audience members near the front of the stalls or performers on the stage Echos are very likely if the rear wall forms a concave arc which focuses the reflections at the front of the wall One technique for removing the echo is to apply absorption to the rear wall

p ( t r )=Aej (ωtminusk r )=Aej (ωtminuskxminusk yminusk z )

Where k= Kx Ky Kz is the wavenumber with Kx being the component in the x directionKsup2= Ksup2= Rxsup2+Rysup2+Rzsup2 A is a constant related to the magnitude of the wave r=x y z is the the location of the observation point t is time and 120770 =2ƒ= Rc is the angular frequency where ƒ is the frequency and c the speed of sound

For a porous absorber the effective density and bulk modulus can be related to the characteristic impedance and wavenumber by the following formulations The characteristic impedance is given by

Zc=radicK ePe

And the propagation wavenumber by

K=ωradic Pe

K e

33 Impedance admittance reflection coefficient and absorption

The effect that a surface has on an acoustic wave can be characterized by for inter-related acoustic quantities the impedance the admittance the pressure reflection coefficient and the absorption coefficient These for acoustic quantities is fundamental to understanding absorbing materials

For most absorbents the speed of sound is much less then that in air Consequently the angle of propagation in the medium is smaller then in the air

In situations where sound pressure levels are very high the non-linear behaviour of sound within the absorbent will need to be considered Silencers come in three main forms reactive absorptive and a combination of reactive and absorptive They are of more interest because they remove sound energy using porous absorbents The attenuation is proportional to the perimeter area

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 35: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

35

ratio TA where P is the lined perimeter and A the cross-section of the silencer The low frequency performance is determined by the thickness of the baffles with d=λ8 being optimal

Absorbers performance is likely to decrease over time unless specialized and expencive durable absorbers are used

34 Natural noise control

It is common to find grass or tree covered areas around major noise sources and optimazing the natural features to maximize attenuation offers a sustainable solution to noise Where spaces allows the use of natural means (trees shrubs and ground) rather then artificial barriers has the advantage of contributing to other issues in sustainability such as reducing air polluition generating access to local green areas and reversing the long term decline in wildlife habitats and populations

35 Loudspeaker cabinets

Most conventional loudspeaker are mounted within cabinets to prevent sound generated by the rear of the driver interfering with that radiating from the front The enclosure changes the behavior of the driver because the air cavity forms a compliance which alters the mechanical behavior of the driver and this must be allowed for in the loudspeaker design By placing absorption within the cavity the resonant modes are damped and the sound quality improvedApplications and basic principles of diffusers

There are locations such as rear walls of large auditoria where there is a general consensus that diffusers are a good treatment to prevent echoes and better than traditional absorbers

36 Echo control in auditoria

Echoes are caused by late arriving by reflections with a level significantly above the general reverberance The echo might also come from a balcony front or many other multiple paths Fluter echoes are caused by repeated reflections from parallel walls and are often heard in lecture theatres corridors and meeting rooms In other cases the choice between diffusers and absorbers will rest on whether the energy lost to absorption will detract or improve other aspects of the acoustics such as the reverberance envelopment and intelligibility

37 Wavefronts and diffusers reflections

In diffuse reflection the wavefront is spatially unaltered from the incident sound Consequently the sound from the source reflects straight back and is unchanged and not dispersed

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 36: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

36

When the direct sound and a specular reflection combine they form a comb filter The time delay between the direct sound and the reflection determine the frequency spacing of the minima and maxima and the relative amplitudes of the sound the levels of the minima and maxima Comb filtering is an effect that should be avoided in critical listening rooms and performance spaces

Another way of forming a diffuser is to combine reflection and absorption By putting patches of absorbent on a wall reflections from parts of the surface will be absent and dispersion is generated Traditionally acousticians have utilized patches of absorption on walls to obtain dispersion

Manu diffusers are designed simply assuming that temporal variation will produce uniform spatial dispersion and an acceptable frequency response however this is not necessarily the case Both surface and volume diffusion refers to cases where the sound field or surface reflections become more complex

The diffuser introduces temporal dispersion of the reflected sound which leads to a more complicated frequency response The regularity of the comb filtering is minimized and consequently its audibility is diminished

If some liveliness is to be left in the room a combination of absorbers and diffusers is better than absorption and flat walls which generate specular reflections Consequently many of the industryrsquos leading mastering facilities use this combination of treatments Live performance studios also usually employ a mixture of absorbers and diffusers

A listener would not consider sitting 30cm from a multi-way loudspeaker because the listener would be in the near field of the device At some distance from the loudspeaker all individual high mid and low frequency waves from the individual drivers will combine to form a coherent wavefront

When listening to music in a room the total field is heard which is a combination of the direct sound and reflections

38 Blurring the focusing from concave surfaces

Concave surfaces can cause focusing in a similar manner to concave mirrors This can lead to uneven sound around a room which is usually undesirable The treatment available are absorbers or diffusers The concentration of sound at the focus is clear To overcome this problem diffuser was specified by Raf Orlowski of Arup Acoustic UK

39 MEASUREMENT OF ABSORBER PROPERTIES

For many practitioners the only important measurement is that which gives the random incidence absorption coefficient in a reverberation chamber While this

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 37: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

37

may be the absorption coefficient that is needed for performance specifications in room design other measurements are needed to understand and model absorptive materials The more controlled environment that is often used is the impedance tube which allows normal incidence impedance and absorption to be determined

The impedance of the sample alters how sound is reflected and by measuring the resulting standing wave it is possible to calculate the normal incidence absorption coefficient and surface impedance of the sample

The most common free field method uses a two-microphone approach but this is often only applicable to isotropic homogeneous samples Attention has recently turned to using more than two microphones however the measurements appear to be problematic and very noise sensitive

The highest frequency ƒu that can be measured in a tube is then determined by

ƒᵤ=c2d Where d is the tube diameter or maximum width and c the speed of

sound

For normal incidence the reflection coefficients of the sample obtained using the in situ method match those obtained using a standing wave method in an impedance tube For oblique incident and at low frequencies (lt800HZ) the method fails with the reflection coefficient exceeding This occurs because there is an implicit assumption of plane waves in the methodology At low frequencies the edges of the test samole created other types of reflected waves which then render the technique inaccurate

391 Porous absorption

Porous absorbers are carpets acoustic tiles acoustic foams curtains cushions cotton and mineral wools such as fiberglass They are materials where sound propagation occurs in a network of interconnected pores in such a way that viscous and thermal effects cause acoustic energy to be dissipated They are used widely to treat acoustic problems in cavity walls and noisy environments to reduce noise and in rooms to reduce reverberance

For the porous absorber to create significant absorption it needs to be placed somewhere where the particle velocity is high The particle velocity close to a room boundary is usually zero and so the parts of the absorbent close to the boundary generate insignificant absorption The amount of energy absorbed by a porous material varies with angle of incidence

The performance varies most with angle of incidence for the least dense mineral wools With too high a flow resistivity the impedance mismatch between

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 38: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

38

the air and the absorbent causes the sound to reflect from the front face and the absorption reduces

To get broadband passive absorption across the frequencies requires a combination of resonant and porous absorption If the perforated sheet does not have a very open structure with a large per cent open area the mass effect of the holes will increase the absorption at low frequency but decrease absorption at high frequency

392 Resonant absorbers

By exploiting resonance it is possible to get absorption at low to mid-frequencies It is difficult to achieve this with porous absorbers because of the required thickness of the material The ideas and concepts of resonant absorption have been known for many decades In recent years some more specialist devices have been produced for instance clear absorbers but these are still based on the same basic physics While some devices such as many basic Helmholtz absorbers can be predicted with reasonable accuracy

The high frequency absorption decreases because the proportion of solid parts of the perforated sheet increases and these parts reflect high frequency sound The maximum absorption decreases somewhat as the resonant frequency decreases If these absorbers were tuned to a lower frequency this decrease would be more marked The reason for this is that the impedance of the porous material moves further from the characteristic impedance of air at low frequencies making the absorbent less efficient A lower flow resistivity leads to an impedance less then characteristic which results in a reduction in bandwidth and maximum absorption

The frequency of absorption can be varied by choosing the hole size open area and cavity depth Although in this case the amount of variation in this design variables that is achievable is rather limited because of restrictions imposed by diffusers surface profile To get absorption across a broader frequency range a double layer construction is needed or additional porous absorbent needs to be placed on the room surface

393 Helmholtz resonator

When a porous absorbent is placed in the cavity sound propagation is generally normal to the surface and so the need for subdividing is less critical except at very low frequencies

The hole spacing should be large compared to the hole diameter The acoustic mass per unit area is m=ᵨDsup2trsquoԈasup2 where trsquo is the thickness of the perforated sheet with the and corrections and other variables Under these assumptions the resonant frequency is

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 39: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

39

ƒ=c2π

radic St `V

where S =π a2 is the area of the holes and V the volume = Dsup2d of each unit cell

This is the same formulation as derived by other methods such as lumped parameter equivalent electrical circuits

At low frequencies without partitions within the cavity this may become less true as lateral propagation modes become more significant Any lateral propagation would be expected to decrease the absorption achieved for most angles of incidence

Active absorbers and diffusers

Low frequencies have long wavelengths which means the absorbers and diffusers have to be large to perturb or absorb the wavefronts In recent years there has been growing interest in the use of active control technologies to absorb or diffuse low frequency sound

Active absorption has much in common with active noise control indeed in many ways it is the same concept just re-organized behind a slightly different philosophy

394 Active Absorption in three dimensions

A sound field in a room can be expressed as a modal decomposition This implies that the sound field may be considered as the sum of a large number of second-order functions these functions can be implemented as infinite inpulse response (IIR) biquad filters The coefficients of these filters are determined by fitting responses to measurements in the physical sound field The sensitivity of this control regime to changes in room conditions is unknown Presumably it would be necessary to regularly recalibrate the system for the damping to remain efficient

395 Active Diffusers

Active devices might offer significant advantages over passive devices Most importantly they allow diffusion over a wider bandwidth by extending the response of the diffusing surfaces to lower frequencies This is useful because the space available for diffusers is usually limited To achieve good diffusion a passive diffuser must be significantly deep compared to the wavelength of sound and at low frequencies building space costs generally limit the depth of treatments and so performance is compromised

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 40: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

40

Active diffusers also enable surface to be designed which are not physically realizable using passive technologies for example surfaces where the well depth is frequency dependent Another limitation in diffuser design comes from the visual requirements of interior designers A good diffuser must be a unifield part of the architectural design rather than an obvious add-on Active devices allow variability Many rooms have to be multi-purpose and active elements have the potential to enable the acoustics of a space to be easily changed

The high frequency diffusion is provided by the passive elements in the diffuser and the active elements deal with the low frequencies There is a complementary relationship between the passive and active elements as there was with hybrid active absorbers

396 Controllers

The structures and control regimes described for active absorbers can be adapted to make active diffusers The control loudspeaker is instrumented to measure and velocity and from this the surface impedance can be obtained and manipulated to a desired value using the techniques described for active absorption The target surface impedance required for active diffusers is more complex than for active absorbers and more difficult to achieve Furthermore in comparison to active absorbers active diffusers have a smaller region of stable control and are more sensitive to control impedance errors This explains why active diffusers are so much more difficult to produce than active absorbers

4 ACOUSTIC AN INTRODUCTION

Every layman knows that a theatre or concert hall may have good or less ldquoacousticsrdquo ex Some churches in working rooms such as factories or open-plan offices However the calculation of just one single normal mode of a realistic room with all its details turns out to quite difficult

For a room with a volume as small as 400m3 and a reverberation tim 1s the frequency range that covers most of the audible frequencies namely those abouve 100Hz

41 Geometric room acoustic

In analogy to geometric optics limited to the range of very high frequencies where diffraction and interferences can be neglected it is convenient to think of sound rays as the carriers of sound energy instead of extended sound waves From this concept it can be immediately concluded that the total energy of a sound ray remains constant during its propagation ndash provided we neglect attenuation in the air however however its energy density is inversely proportional to the distance from its origin as in any spherical wave

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 41: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

41

The most important law of geometric room acoustics is the law of ldquospecularrdquo reflection which reduces to the simple rule

Angle of incidence = angle of reflection

The construction of rays is a simple way to examine the contributions of wall and celing portions to the supply of an audience with sound However if many multiple reflections are to be taken into account this picture will become too confusing and looses its clarity One original source and all its images produce the same signal The energy loss of a ray due to imperfect wall reflections is approximately accounted for by attributing a reduced power output to the image source

The construction of image sources is particularly simple for a rectangular room Because of the symmetry of this enclosure many of its image sources coincide

For calculating the resulting sound signal in an receiving point P we ought to add the sound pressures of all contributions If the room is excited by a sine tone the total intensity in P is obtained as

1= 12Zo

orsumnPnorsup2= 1

2Zosumsum PnPm

With the aid of geometric acoustic we can examine not only the spatial distribution of stationary sound energy within a room but also the temporal succession in which the reflected sounds arrive at a given point in the room The signal received by the listener can be represented as

s (t )=sumnans iquestiquest iquestiquest

Generally our hearing does not perceive reflections with delays of less than about 50 ms as separated acoustical events Instead such reflections enhance the apparent loudness of the direct sound therefore they are often referred to as ldquouseful reflectionsrdquo

Another feature of a reflection is the direction from which it arrives at the listenerrsquos position Although most of the sound energy he receives arrives from other directions than from that of the direct sound This interesting effect is due to the ldquolaw of the first wavefrontrdquo

42 Diffuse sound field

In a closed room the sound waves are repeatedly reflected from its boundary and with each reflection they change their direction

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 42: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

42

The energy density is associated with the intensity and is dw= Irsquo dΩc The total energy density is obtained by integrating this quantity over all directions that is over the full solid angle 4π

w=1c∬4π

I (ϕ Θ ) dΩ

The independence of therdquo differential intensityrdquo Irsquo on the angles ϕ and Ɵ as was assumed here means that all directions participate equally in the sound propagation

43 Energy density and reverberation

Now our main concern is the energy density which will be established a certain acoustical power is supplied to room It is intuitively clear that the energy density in a room will be the higher the more acoustical power is reduced by a sound source operated in it and the lesser energy per second will be lost by dissipative processes in particular the lower the absorption coefficient of the boundary This leads us immediately to the energy balance

Temporal change of the energy content = energy supplied by the source ndash absorbed energy

The energy supplied to the room per second is the power output P of the source Hence the mathematical expression for the energy balance reads

V dwdt

=P ( t )minus c4 Aw

This is a differential equation of first order for the energy density The source power P is assumed as constant then the same holds for the energy density This leads to

w=4 PcA

This formula agrees with what we have expected

44 Electroacoustic transducers

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 43: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

43

Acoustical signals can be analysed and processed in nearly every desired way furthermore we can transmit them over long distances or stor them in several ways and retriev them at any time

An electroacoustic transducer is a system that means in two ports one of them being the input terminals to which the signal to be converted is applied while the second one is the output terminal which yields the result of the conversion

In the ideal case for any input signal s1(t) the corresponding output signal s2 (t) should be given by the simple relationship

s2(t) = K s1 (t ndash Δt)

With Constant K The time interval Δt in the argument of s1 is to indicate that we allow for some delay of the output signal provided it is sufficiently small

At best we can expect that a real transducer meets condition within a limited frequency range The majority of electroacoustic transducers employ electrical or magnetic fields to link mechanical and electrical quantities

45 Piezoelectric transducer

Many solid materials are electrically polarized when they are deformed which manifests itself as an electrical charge on its surface This property is called piezoelectricity

The piezoelectric transducer can be represented by an equivalent electrical circuit which can be throught of as the entrails so-to-speak of the box

In the audio range the piezoelectric transducer has to compete with several other kinds of transducers

Most piezoelectric transducers for practical applications however consist of ceramics made of certain ferroelectric materials such as barium titanate lead zirconate (PZT) or lead metaniobate

46 Electrostatic transducer

If we leave out piezoelectric material from the parallel-plate capacitor we arrive at the electrostatic transducer also known as dielectric or capacitive transducer The reverse effect exists too varying de distance of the electrodes of a charged capacitor changes its capacity and hence its voltage or its charge or both of them depending on the electrical load of the electrodes Any change of electrical charge is linked to a charging or discharging current

The electrodes of a parallel-plate capacitor charged to a voltage U attract each other the force

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 44: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

44

Ftot=C 0

2d U2 Hence the total force F tot is composed of a constant part which must

be balanced by a suitable suspension of the electrodes and by the alternating force

47 Magnetic transducer

The magnetic transducer consists basically of a magnet and a movable part ndash the armature ndash made of magnetically soft iron

As with the electrostatic transducer the force is proportional to the square of the electrical quantity ndash here of the magnetic field strength

The magnetostrictive transducer had its particular merits as a robust sound projector in underwater sound Likewised it played an important role in the generation of intense ultrasound with frequencies up to about 50kHz

If we consider a dynamic loudspeaker with a transducer constant M = 1 NA We assume that the alastic suspension of the diaphragm and the moving coil has a compliance of 5 10minus4mN the inductance L of the moving coil be mH With these data yilds

Kdyn= 0707

48 Microphones

Microphones in the widest sense are electroacoustical sound receivers that is devices which convert acoustical or mechanical vibrations into electrical signals They are used to record sound signals such as speech or music Furthermore they serve to measure sound field quantities iin particular the sound pressure For the performance of a microphone several characteristic features are important One of them is sensitivity At best the sensitivity can be expected to be constant within a certain limited frequency range The directivity of a microphone is a third feature which is of significance in practical applications

The increase of the membrane deflection with the angular frequency ω = ck and its characteristic dependence on the angle under which the sound wave arrives

The frequency dependence of the pressure sensitivity vanishes by the way if the openings in the rear wall are very long and narrow Then the motion of the diaphragm is controlled by the flow resistance r which the air experiences when it is forced through the openings The mechanical input impedance of some microphone capsules is considerably complicated in its mechanical construction and sensibility

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 45: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

45

49 Condenser microphone

Probably the simplest way to convert acoustic signals into electrical ones is by arranging a metal plate inside the capsule parallel to the diaphragm Together with the membrane it forms a parallel-plate capacitor and the whole device acts as an electrostatic transducer

The condenser microphone is considered a pressure gradient sensor and they are built in many different forms The fabrication of these microphones makes great demands on mechanical precision Its sensitivity is of the order of 10 mVPa

410 Piezoelectric microphones

In a piezoelectric microphone the diaphragm is in mechanical contact with a body of piezoelectric material which performs thetransduction of its deflection into an electrical signal Nevertheless the cable connecting the microphone to an amplifier must not be too long because it would be increased by the cable capacitance resulting in a lower sensitivity The sensitivity of a piezoelectric microphone is comparable to that of a condenser microphone

411 Dynamic microphones

The dynamic transducer principle is another useful basis of microphone construction One widely used version of a dynamic microphone is the moving-coil microphone Essentially its consist of a small coil within the cylindrical air gap of a permanent magnet which produces a radial magnetic field in it The output voltage of this microphone is as with all dynamic transducers proportional to the velocity of the moving coil Therefore if the pressure sensitivity is to be frequency independent the motion of the diaphragm should be resistance-controlled that is with a mechanical input impedance just consisting of a resistance r In the case we have

U1=0 = Mv = MrS p

In general the inductance of the moving coil can be neglected against its electrical resistance which is typically 200Ohm The microphone can be connected to a cable without dramatic loss of sensitivity

412 Carbon Microphone

For a long time the carbon microphone was the standard microphone in telephone communication techniques This is because of its high sensitivity and its mechanical robustness properties which were deemed more important in its practical operation than high fidelity However it has been replaced with other microphone types

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 46: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

46

413 Hydrophones

Hydrophones are microphones for detecting sound in a liquid media They have a wide application especially in underwater techniques and are important components of most sonar systems In ultra-sonic they are mainly used for measuring purposes as for instance for the examination and the surveillance of the sound field produced by ultrasonic sound projectors Most hydrophones are based on the piezoelectric transducer principle Particularly high-frequency bandwidth is achieved with the needle hydrophone it consist of metal needle the tip of which is covered by a thin film of polyvinylidene fluoride (PVDF) which of course must be polarized before use

414 Loudspeakers and other electroacoustic sound sources

Loudspeakers are the most widely used electroacoustic devices We find them in every radio or television set in every stereo system and even our motor car is equipped with several loudspeaker Another important aspect is the output power attainable with a loudspeaker of course under the condition that non-linear distortions within tolerable limits The construction of the transducer determines the electrical properties of the sound transmitter but is also responsible for the occurrence of linear and non-linear distortions

In particular after the sound power radiated from a circular piston in an infinite baffle is in the low-frequency limit (Kalaquo 1 with a = piston radius

The relationship between membrane motion and sound pressure which is so unfavourable for loudspeaker construction is a characteristic feature of sound radiation into three-dimensional space

4141 Dynamic loudspeaker

The loudspeaker which is almost exclusively used today is based on the dynamic transducer principle As in the moving-coil microphone the conductor interacting with the magnetic field is a cylindrical coil of wire arranged concentrically in the annular gap of a strong permanent magnet

The condition that the loudspeaker is driven with frequencies-constant electrical current is not very strigent because for frequencies below about 1000Hz the inductance of the voice coil can be neglected in comparison of its resistance which typically 4 or 8 ohms Therefore the loudspeaker can be fed without problem from a constant voltage amplifier Generally the diaphragm of loudspeakers is composed of paper sometimes of plastics or aluminum At medium and high frequencies it vibrates no longer uniformly since flexural resonances may be excited on it which impair the frequency response of the loudspeaker

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 47: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

47

Of course it is much easier to optimize a loudspeaker for a restricted frequency range Therefore the whole audio range is often subdivided into several frequency bands for instance in a low- frequency a mid-frequency and a high frequency band which are served by separate loudspeaker fed from suitable cross-over network The transient behavior of the dynamic loudspeaker is mainly determined by its mechanical resonance

4142 Electrostatic or condensor loudspeaker

The diaphragm of a condenser loudspeaker consists of a thin and light foil of metal or a metalized plastic The mechanical impedance of the membrane is so low that the mechanical properties of the electrostatic loudspeaker are mainly determined by its radiation

At low frequencies the radiation impedance of the loudspeaker consists mainly of reactive component jωmrwith mr denoting the ldquoradiation massrdquo Hence the velocity of the membrane is

vo= Njωmr

U

The electrostatic loudspeaker is highly appreciated by some connoisseurs Nevertheless it represents no real alternative to the much more robust and less costly dynamic loudspeaker

4143 Magnetic loudspeaker

Today the magnetic loudspeaker is of historical interest only because it is inferior to the dynamic loudspeaker when it comes to distortions Nevertheless in the beginning of the broadcasting era even in the thirties it was in widespread use because of its simple construction and its high efficiency Its essential components are a permanent magnet and a small bar of iron the armature which is kept in front of the magnetic poles by a flexible spring Depending on the polarity its current the armature is drawn either towards the left or the right side This motion is conveyed to a conical paper membrane by a little pin

4144 The closed loudspeaker cabinet

The most common way of avoiding an acoustical short-circuit is by mounting the loudspeaker system into one wall of an otherwise closed enclosure However it should be noted that the loudspeaker interacts with the air enclosed in the box Thus the air is alternately compressed and rarefied by the motion of the diaphragm hence at low frequencies it reacts like a spring increasing the stiffness of the system

4145 The bass-reflex cabinet

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 48: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

48

In a way it is unsatisfactory to waste the sound energy radiated from the rear side of a loudspeaker diaphragm The bass-reflex cabinet is a method which uses that sound portion to extend the range of efficient sound radiation towards lower frequencies It differs from the closed loudspeaker cabinet in having a vent in the front wall of the cabinet including a short tube inside This por emits sound when the air confined in it is set into oscillations

At very low frequencies the air confined in the vent moves in the opposite direction to the motion of the diaphragm if the membrane is slowly pressed inside the displaced air simply escapes through the vent

4146 Horn loudspeakers

In real horn loudspeakers the diaphragm is driven by specially designed dynamical systems The radiation resistance which loads the diaphragm of the driven system can be further increased by arranging for a ldquocompression chamberrdquo between the diaphragm and the throat of the horn

The earlier statements on the function of horn loudspeakers apply to infinitely long horns For exact calculations of the horn shapes the curvature of wavefronts must be taken into account Horn loudspeakers are very common applied in sound reinforcement systems

4147 Loudspeaker directivity

Most loudspeakers project the sound they produce preferably in a certain direction except at very low frequencies This directivity is often desirable especially in sound reinforcement applications when large audiences are to be supplied with sound as for instance in sports arenas or in large halls One benefit of loudspeaker directivity is that the power output of amplifiers and loudspeakers can be kept smaller when the sound energy is directed towards the place where it is needed (audience area)

Many horns have rectangular cross sections with different expansions in both directions for instance exponential in vertical direction but with flat side walls

Another common design is the multicellular horn consisting of several individual horns created by subdividing the cross section with partitions Furthermore linear loudspeaker arrays sometimes also called line or column systems are widely used

It is useful to characterize a particular direction not by the elevation angle α but by its complement α =90minusα that is by the angle between that direction and the line axis

sin α=cos α=sin θ cosempty

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 49: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

49

Thus for instance it is no longer necessary to mount loudspeaker arrays vertically instead they can be placed underneath the ceiling giving them the desired directivity by proper delays In this way they are less visible and the stage area more pleasant

5 GENERAL ANALYSIS

The electronic engineering is of extreme importance in todays world we live in pushing new technologiesThe electrical engineering is present in most areas drivers of development especially now that globalization affects everyone in an almost voluntary because we can not isolate the other parts of the globeIt is important to note how new technologies are expanding to the four corners of the world precisely because of the advances seen in electronic engineering which infects people with innovations due to the facilitation of life that these technologies offerIn my country (Cape Verde) the use of this technological evolution is evident because fifteen years ago electrification and phone internet radio and television existed only in urban centers Today these goods and services are present in almost all rural areas due to the introduction of new technologies allowing brands the value that electronic engineering is developing facilitating and helping to improve the lives of peopleLately the cooperation of developed countries with poor countries has been based more on creating the conditions for the expansion of new technologies to the urban and rural populations approaching them with the rest of the worldIn all related areas this is the electronic engineering not only in the design of systems that use universal and adequate to certain climatic conditions geographical and topographical

Adriano Pedro Rodrigues

20130122

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 50: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

50

6CONCLUSION

Engineering is one of the areas in its various aspects based its principles on innovation and is considered one of the pillars of knowledge having as source of the past and projecting the present and the future Hence the authors of the various chapters that served as subjects of study are concerned with raising awareness of the history or origin of things allowing us to know the aspects and stages of evolving technologies serving to boost each otherEngineering is something that not to and new technologies continue to challenge engineers to innovate various areas of correcting errors that may have occurred in the past and projecting the best for the futureIn this case the engineering electro electronics is one of the most important levels of new technologies with the support of the same with regard to instrumentation control and production efficiencyIn conclusion electronic engineering is present in most areas driving developmentBecause we are currently living in constant liaison with the new technologies it is important to acquire knowledge within the general culture in facilitating the management of equipment that take part in our daily lives

Adriano Pedro Rodrigues20130125

51

7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012

Page 51: aiu.eduaiu.edu/.../upload/1-1282013-72310-876158505.docx · Web viewIn portable or battery-powered systems this can limit use of digital systems. Digital circuits are sometimes more

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7 BIBLIOGRAPHY

-Aldred Julia Edition 1ordm Global Meacutedia 2009 and the bibliography refered in this Edition-Cox Trevor J DAacutentoacutenio Peter Edition 2009 and the bibliography refered in this Edition-Kuttruff Heinrich Taylor amp Francis 2007 and the bibliography referedIn this Edition-Nicolaidis Ryan Walker Bruce Neinberg Gil 2012